Deprived of Second Derivative Iterated Method for Solving Nonlinear Equations | [Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences • 2021]

Author(s):

1. Umair Khalid Qureshi: Department of Business Administration, Shaheed Benazir Bhutto University, Sanghar, Sindh, Pakistan

2. Sanaullah Jamali: Institute Mathematics and Computer Science, University of Sindh Jamshoro, Pakistan

3. Zubair Ahmed kalhoro: Department of Mathematics, University of Sindh Laar campus, Badin, Sindh, Pakistan

4. Guan Jinrui: Department of Mathematics, Taayuan Normal University, China

Abstract:

Non-linear equations are one of the most important and useful problems, which arises in a varied collection of practical applications in engineering and applied sciences. For this purpose, in this paper has been developed an iterative method with deprived of second derivative for the solution of non-linear problems. The developed deprived of second derivative iterative method is convergent quadratically, and which is derived from Newton Raphson Method and Taylor series. The numerical results of the developed method are compared with the Newton Raphson Method and Modified Newton Raphson Method. From graphical representation and numerical results, it has been observed that the deprived of second derivative iterative method is more appropriate and suitable as accuracy and iteration perception by the valuation of Newton Raphson Method and Modified Newton Raphson Method for estimating a non-linear problem.

Page(s): 39-44

DOI: DOI not available

Published: Journal: Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, Volume: 58, Issue: 2, Year: 2021

Keywords:

Taylor Series Expansion , Modified Newton Method , Order of Convergence , Newton method

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